How Does Gas Temperature Affect Q and W in Thermodynamic Processes?

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SUMMARY

The discussion focuses on a thermodynamics problem involving one mole of nitrogen gas undergoing a quasistatic expansion at a constant temperature of 293 K. The key questions include calculating the thermal energy transfer (Q) from a heating element to the gas and the work (W) done on the piston by the gas during the expansion from 14 liters to 24 liters. The user has successfully determined that the energy change of the gas is 0 J, but requires assistance in calculating Q and W using the appropriate formulas.

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  • Understanding of the ideal gas law and thermodynamic processes
  • Familiarity with quasistatic processes in thermodynamics
  • Knowledge of the first law of thermodynamics
  • Proficiency in using logarithmic functions in calculations
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  • Learn how to apply the ideal gas law to calculate thermal energy transfer (Q)
  • Study the work done by gases during expansion using the formula W = PΔV
  • Explore the concept of quasistatic processes and their implications in thermodynamics
  • Review the first law of thermodynamics and its application in closed systems
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Students in introductory college physics, particularly those studying thermodynamics, as well as educators and tutors seeking to clarify concepts related to gas behavior during thermal processes.

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?? about gas temp!

1. Homework Statement

was not sure if this was an introductory problem or a advanced problem. i will let you guys be the judge, but this is my first year of college physics.

One mole of nitrogen is compressed (by piling lots of sand on the piston) to a volume of 14 liters at room temperature (293 K). The cylinder is placed on an electric heating element whose temperature is maintained at 293.001 K. A quasistatic expansion is carried out at constant temperature by very slowly removing grains of sand from the top of the piston, with the temperature of the gas staying constant at 293 K. (You must assume that there is no energy transfer due to a temperature difference from the gas to the surrounding air, and no friction in the motion of the piston, all of which is pretty unrealistic in the real world! Nevertheless there are processes that can be approximated by a constant-temperature expansion. This problem is an idealization of a real process.) When the volume is 24 liters, how much thermal energy transfer Q has gone from the heating element into the gas?

1. When the volume is 24 liters, how much thermal energy transfer Q has gone from the heating element into the gas?

2. How much work W has been done on the piston by the gas?

3. How much has the energy of the gas changed?

i got number 3. and the answer is 0 J the other two i am completely stuck on.

3. The Attempt at a Solution

um... i have no idea where to even start. might just be a simple formula but have been looking in the textbook and can not find one. any help would be great!
thanks
 
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How much work W has been done on the piston by the gas?

moles*avogadro's number*boltzmann's constant*Temp*Ln(V1/V2)

How much has the energy of the gas changed?

same thing as the one before
 

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